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Finding the Fourth Proportional to 420.33, 630.56 and 189.30

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Solution

The fourth proportional to 420.33, 630.56 and 189.30 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.33 : 630.56 = 189.30 : x
  2. Step 2: Convert to fraction form
    420.33/630.56 = 189.30/x
  3. Step 3: Cross multiply
    420.33x = 630.56 × 189.30
  4. Step 4: Simplify right side
    420.33x = 119,360.91
  5. Step 5: Solve for x
    x = 119,360.91/420.33
  6. Step 6: Final answer
    x = 283.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.